K14n5955

Knot presentations

Dowker-Thistlethwaite code

4 8 -18 2 -14 -24 -28 -22 -6 26 -16 -10 20 -12

Notes on presentations of K14n5955

Polynomial invariants

Jones polynomial	Data:K14n5955/Jones Polynomial
Alexander polynomial	$-t^{3}+8t^{2}-19t+25-19t^{-1}+8t^{-2}-t^{-3}$
Conway polynomial	Data:K14n5955/Conway Polynomial
Determinant	Data:K14n5955/Determinant
Signature	Data:K14n5955/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}-z^{8}-a^{4}z^{6}+7a^{2}z^{6}+z^{6}a^{-2}-8z^{6}-4a^{4}z^{4}+21a^{2}z^{4}+5z^{4}a^{-2}-20z^{4}-8a^{4}z^{2}+28a^{2}z^{2}+6z^{2}a^{-2}-22z^{2}-6a^{4}+14a^{2}+2a^{-2}-9$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a} z^{11}+4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10} $Failed^{-1} +2 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^5 z^9+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-\text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} +2 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^8-11 \text{QuantumGroups$\grave{ }$a}^4 z^8-20 \text{QuantumGroups$\grave{ }$a}^2 z^8-8 z^8 $Failed^{-1} +z^8 $Failed^{-1} -15 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-17 \text{QuantumGroups$\grave{ }$a}^5 z^7-31 \text{QuantumGroups$\grave{ }$a}^3 z^7-14 \text{QuantumGroups$\grave{ }$a} z^7-15 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+6 \text{QuantumGroups$\grave{ }$a}^4 z^6+33 \text{QuantumGroups$\grave{ }$a}^2 z^6+14 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +37 z^6-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+16 \text{QuantumGroups$\grave{ }$a}^5 z^5+49 \text{QuantumGroups$\grave{ }$a}^3 z^5+47 \text{QuantumGroups$\grave{ }$a} z^5+45 z^5 $Failed^{-1} +27 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-11 \text{QuantumGroups$\grave{ }$a}^4 z^4-40 \text{QuantumGroups$\grave{ }$a}^2 z^4-5 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -35 z^4+5 \text{QuantumGroups$\grave{ }$a}^7 z^3-11 \text{QuantumGroups$\grave{ }$a}^5 z^3-46 \text{QuantumGroups$\grave{ }$a}^3 z^3-54 \text{QuantumGroups$\grave{ }$a} z^3-42 z^3 $Failed^{-1} -18 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^2+14 \text{QuantumGroups$\grave{ }$a}^4 z^2+33 \text{QuantumGroups$\grave{ }$a}^2 z^2+2 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +23 z^2-2 \text{QuantumGroups$\grave{ }$a}^7 z+5 \text{QuantumGroups$\grave{ }$a}^5 z+19 \text{QuantumGroups$\grave{ }$a}^3 z+23 \text{QuantumGroups$\grave{ }$a} z+15 z $Failed^{-1} +4 z $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^4-14 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -9}

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